114
114

Jun 15, 2015
06/15

by
Petot, M. (Jean Constant), 1802-1867

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Spine title: La chaufournerie

Topics: Lime, Cement, Pozzuolanas

452
452

Aug 31, 2008
08/08

by
C. Courtois, Clément Louis Treussart, Jean Constant Petot

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Book digitized by Google from the library of the New York Public Library and uploaded to the Internet Archive by user tpb.

Source: http://books.google.com/books?id=Wg4KAAAAIAAJ&oe=UTF-8

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32

Oct 6, 2017
10/17

by
Jean Constant

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Series on color-contrast modularity and pattern recognition after a series of templates made in the 1950s by Russian scientist M. Bongard.

Topics: pattern, pattern recognition, modularity, color-contrast modularity, science and art

47
47

Mar 18, 2011
03/11

by
Jean Constant

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Hyperbolae visualization. After a template by Bernie Freidin.

Topic: hyperbola, plane, curves, mathematics, mathematics and art digital art

161
161

Mar 18, 2011
03/11

by
Jean Constant

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Visual interpretation of the Bell numbers or the number of ways a set of elements can be partitioned into non-empty subsets

Topics: Bell numbers, numbers, elements, partition, mathematical visualization, mathematics and art,...

151
151

Oct 6, 2017
10/17

by
Jean Constant

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The following was inspired by numerous scientific research experiments on optical illusion. Aitken, Thomson, and more recentlyAkiyoshi Kitaoka, Edward Adelson, Michael Bach are among the many who helped visual communication and the visual arts understand their tool better.

Topics: optics, optical illusion, perception, applied sciences, science and art

21
21

Oct 6, 2017
10/17

by
Jean Constant

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Visualizations based on spiral geometry

Topics: spiral, geometry, mathematics, mathematics and art

30
30

Oct 6, 2017
10/17

by
Jean Constant

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Art based on a Sierpinski fractal recursion as a way to explore visually the Cantor’s set theory

Topics: Cantor set, Sierpinski, fractal, art, mathematics and art, optical illusion

35
35

Oct 6, 2017
10/17

by
Jean Constant

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Cinemagraph #2. Hyperboloid Hyperboloid Recursive journey into the heart of a hyperbola. The original design contains 1,656.027 shapes. Including the double rotation effect in the cinemagraph, the moving image may be composed of substantially more shapes, some visible, some hidden, some retained in the retina for a second or two according to the famous white dot/black dot neural after effect.

Topics: Cinemagraph, hyperboloid, context-free-art, mathematics and art, science and art

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25

Oct 6, 2017
10/17

by
Jean Constant

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Crystals have been valued throughout history for their properties as well as their appearance. Crystallography measures the atomic arrangement of crystal. The following is a visual exploration of the 32 crystallographic point groups system to evaluate if art based on exact science can participate in the larger debate on symmetry and the perception of beauty.

Topics: mineral, crystal, symmetry, geometry, mathematics and art, art

34
34

Oct 4, 2017
10/17

by
Jean Constant

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Digital visualization of some mathematical knots

Topics: Knot, knot theory, mathematics and art, visualization, mathematics and art

38
38

Oct 6, 2017
10/17

by
Jean Constant

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Stochastic processes from optical illusion to the "Shortest route problem". Randomness in the perception of visual information From a lectures by Richard Kramer, various elements of symmetry.

Topics: random, stochastic, optical illusion, perception, visualization

6
6.0

Apr 9, 2019
04/19

by
Jean Constant

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A short introduction to the "Geometry of nature" project prepared for the 2019 ULUS Media Art Triennial, Belgrade, Serbia. The 365-illustration book, including notes and references, is now available on Amazon.com @ http://bit.ly/JCPublishing

Topics: art, geometry, nature, mineral, crystal, mineral art

31
31

Oct 5, 2017
10/17

by
Jean Constant

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Mathematics-inspired visualization. The Boy’s Surface is a family of surfaces. Werner Boy, in his dissertation under Hilbert, constructed an immersion of the projective plane. Boy’s Surface has besides its self-intersection curves only one more serious singularity, namely a triple point (H. Karcher).

Topics: Boy surface, topology, minimal surface, mathematics and art, art, mathematics and art

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24

Oct 6, 2017
10/17

by
Jean Constant

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The Julia set, named after the French mathematician Gaston Julia, consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values. The image is created by mapping each pixel to a rectangular region of the complex plane and by colouring the point by how fast it diverges to infinity. Topèng is one of Bali's oldest dance-drama. The term "Pajegan" means "one who performs all function". Topeng Pajegan is based...

Topics: fractal, Julia, Gaston Julia, mathematics, mathematics and art, Topeng, Pajegan

23
23

Oct 6, 2017
10/17

by
Jean Constant

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This Pachinko-like cinemagraph is an actual visualization of a Hilbert curve done in the program ContextFree Art. In 1890, Peano discovered a continuous curve that passes through every point of the unit square. A year later, David Hilbert published a more complex variation of Peano’s construction. He included in his demonstration a picture to help visualize the construction.

Topics: Cinemagraph, mathematics and art, science and art, Hilbert, Hilbert curve, ContextFree art, Peano,...

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48

Oct 6, 2017
10/17

by
Jean Constant

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Cinemagraph #1. Snowflake paradigm Snowflakes are at once geometrically simple and incredibly intricately simple and incredibly intricate. 17th Century mathematician and astronomer J. Kepler asked the question "Why do snowflakes have six corners?” It wouldn’t be answered until the development of X-ray crystallography in the twentieth century. Ice grows hexagonal and in certain regimes triangular and cubic ice crystals. These are the only three geometric shapes that can fill a surface...

Topics: Cinemagraph, snowflake, Kepler, ContextFree-art, mathematics and art, science and art

12
12

Oct 4, 2017
10/17

by
Jean Constant

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Mathematical figure on a Mars background from the HIRISE project library

Topics: Mars, geometry, art, mathematics and art, mathematics and art

15
15

Oct 6, 2017
10/17

by
Jean Constant

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A conformal map is a function which preserves oriented angles between curves with respect to their orientation. Visualization series originated in Dr. Richard Palais software, 3DXplorMath.

Topics: mathematics, art, conformal map, function, mathematical visualization, 3DXplorMath

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86

Oct 6, 2017
10/17

by
Jean Constant

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Cinemagraph #4 Stochastic art The spheres were distributed randomly on a 15×15 square grid. The Cinemagraph technique animates some of them at random interval.To add to the dynamic of the image, I inserted a classic example of random after-effect illusion. When your eye focuses on a white sphere and/or move from one to the other, your peripheral vision may see for a short time the ghost of a sphere appearing inside some of the empty squares.

Topics: Cinemagraph, mathematics and art, science and art, stochastic processes, stochastic art, optical...

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34

Oct 6, 2017
10/17

by
Jean Constant

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2D visualization of symmetry symbols from a series of templates by mathematician Richard Kramer.

Topics: symmetry, geometry, visualization, mathematics, matehmatics and art

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187

Mar 18, 2011
03/11

by
Jean Constant

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Digital visualization of 18th and 19th century Japanese Sangaku. Japanese mathematical geometry tradition in the modern ages

Topics: Wasan geometry, geometry, Sangaku, Japan, mathematics and art, digital art